Probability Distribution Analysis of Structural Response under Non-Gaussian Wind Loads
Based on the theory of maximum likelihood estimation, a set of nonlinear equations is first derived for determination of parameters of Weibull distribution. To speed up convergence, an efficient algorithm is proposed for solving the parameters. Further, a large-span roof structure is taken to demonstrate the proposed method. It is proved that the responses of a nonlinear structure have non-Gaussian properties under the excitation of non-Gaussian stochastic wind pressure field. By Weibull distribution fitting, the maximum and minimum values of structural response with a certain assurance rate are computed, and the results are compared with those obtained from normal distribution.
J. Li and X. Wang, "Probability Distribution Analysis of Structural Response under Non-Gaussian Wind Loads", Advanced Materials Research, Vols. 163-167, pp. 4356-4362, 2011